A box contains 12 apples, 16 mangoes and 8 oranges. If three fruits are drawn at random from the box, then find the probability of that two of them are oranges and one is apple?
A. 22/91
B. 4/85
C. 9/61
D. 11/72
E. None of these
Sol:
The total number of fruits in the box = 12 + 16 +
8 = 36
Required probability = 12C1 * 8C2/36C3
= (12 * 8 * 7/2)/(12 * 35 * 17)
= 4/85